THERMAL SCIENCE

International Scientific Journal

MIXED CONVECTION FLOW AND HEAT TRANSFER IN FERROMAGNETIC FLUID OVER A STRETCHING SHEET WITH PARTIAL SLIP EFFECTS

ABSTRACT
Two-dimensional steady boundary layer mixed convection flow and heat transfer in ferromagnetic fluid over a stretching sheet is investigated. Velocity slip is taken into account. The governing partial differential equations are first transformed into the non-linear ordinary coupled differential equation using a similarity transformation and then solved numerically by Runge-Kutta-Fehlberg method. The role of local skin friction, heat transfer rate, ferromagnetic-interaction parameter, slip parameter and the buoyancy parameter on velocity and temperature profiles inside the boundary layers are examined through tables and graphically. Finally a comparison is also made with the existing literature and found in good agreement.
KEYWORDS
PAPER SUBMITTED: 2016-06-10
PAPER REVISED: 2016-10-08
PAPER ACCEPTED: 2016-10-12
PUBLISHED ONLINE: 2016-11-06
DOI REFERENCE: https://doi.org/10.2298/TSCI160610268Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Issue 6, PAGES [2515 - 2526]
REFERENCES
  1. Crane, L. J., Flow past a stretching plate, J. Appl. Math. Phys., 21 (1970), 4, pp. 645-647
  2. Gupta, P. S., Gupta, A. S., Heat and mass transfer on a stretching sheet with suction or blowing. The Canadian Journal of Chemical Engineering, 55 (1977), pp. 744-746
  3. Grubka, L. J., Bobba, K. M., Heat transfer characteristics of a continuous, stretching surface with variable temperature, Journal of Heat Transfer., 107 (1985), 1, pp. 248-250
  4. Vafai et al., The study of Hall current on peristaltic motion of a non-Newtonian fluid with heat transfer and wall properties, Journal of Zeitschrift Fur Naturforschung A, 70 (2015), 4, pp. 281-293
  5. Ellahi et al., Non-Newtonian fluid flow through a porous medium between two coaxial cylinders with heat transfer and variable viscosity, Journal of Porous Media, 16 (2013), 3, pp. 205-216
  6. Ellahi, R., The effects of MHD and temperature dependent viscosity on the flow of non-Newtonian nanofluid in a pipe: analytical solutions, Applied Mathematical Modeling, 37 (2013), 3, pp. 1451-1457
  7. Faiza A. Salama, Effects of radiation on convection heat transfer of Cu-water nanofluid past a moving wedge, Thermal Science, 20 (2016), pp. 437-447
  8. Moradi et al., Investigation of heat transfer and viscous dissipation effects on the Jeffery Hamel flow of nanofluids, Thermal Science, 19 (2015), 2, pp. 563-578
  9. Kandelousi, M. S., Effect of spatially variable magnetic field on ferrofluid flow and heat transfer considering constant heat flux boundary condition, The European Physical Journal Plus, (2014) 129- 248
  10. Kandelousi, M. S., KKL correlation for simulation of nanofluid flow and heat transfer in a permeable channel, Physics Letters A, 378 (2014), 45, pp. 3331-3339
  11. Sheikholeslami et al., convection of Al2O3-water nanofluid considering thermal radiation: A numerical study, International Journal of Heat and Mass Transfer, 96 (2016), 513-52
  12. Mohyud-Din et al., Magnetohydrodynamic flow and heat transfer of nanofluids in stretchable convergent/divergent channels, Applied Sciences, 5 (2015), 1639-1664
  13. Mohyud-Din et al., On heat and mass transfer analysis for the flow of a nanofluid between rotating parallel plates, Aerospace Science and Technology, 46 (2015), 514-522
  14. Rashidi, et al., Entropy generation analysis of the revised Cheng-Minkowycz problem for natural convective boundary layer flow of nanofluid in a porous medium, Thermal Science, 19 (2015), pp. 169 -178
  15. Ellahi, et al., A study of heat transfer in power law nanofluid, Thermal Science, doi: 10.2298/TSCI150524129E (2016)
  16. Hathway, D. B., Use of ferrofluid in moving coil loudspeakers dB-Sound Engg. Mag., 13 (1979), pp. 42-44
  17. Raj, K., Moskowitz, R., Commercial applications of ferrofluids, J. Magn. Mater., 85 (1990), pp. 233-245
  18. Feynman, R. P., et al., Lecturers on Physics, Addison-Wesley. Reading Shliomis, MI 2004 (1963)
  19. Shliomis, M. I., Ferrofluids as Thermal Ratchets, Physical Review Letters, 92 (2004), 18, pp. 188901
  20. Maruno, S., et al., Plain paper recording process using magnetic fluids, J. Mgn. Magn. Mater., 39 (1983), pp. 187-189
  21. Rosensweig, R. E., Ferrohydrodynamics, Cambridge University Press Cambridge London, (1985)
  22. Neuringer, J. L., Some viscous flows of a saturated ferrofluid under the combined influence of thermal and magnetic field gradients, Int. J. Nonlinear. Mech., 1 (1966), pp. 123-127
  23. Tzirtzilakis, E. E., et al., Numerical study of forced and free convective boundary layer flow of a magnetic fluid over a flat plate under the action of a localized magnetic field, Zeitschrift fr angewandte Mathematik und Physik, 61 (2010), 5, pp. 929-947
  24. Sheikholeslami, M., Ellahi, R., Simulation of ferrofluid flow for magnetic drug targeting using Lattice Boltzmann method, Journal of Zeitschrift Fur Naturforschung A, 70 (2015), 2, pp. 115-124
  25. Sheikholeslami, M., Gorji-Bandpy, M., Free convection of ferrofluid in a cavity heated from below in the presence of an external magnetic field, Powder Technology, 256 (2014), pp. 490-498
  26. Li, Q., Xuan, Y., Experimental investigation on heat transfer characteristics of magnetic fluid flow around a fine wire under the influence of an external magnetic field, Exp. Therm. Fluid. Sci., 33 (2009), 4, pp. 91-596
  27. Motozawa, M., et al., Effect of magnetic field on heat transfer in rectangular duct flow of a magnetic fluid, Phys. Procedia., 9 (2010), pp. 190-193
  28. Feng, W. u., et al., Acoustically controlled heat transfer of ferromagnetic fluid, International journal of heat and mass transfer, 44 (2001), 23 pp. 4427-4432
  29. Tangthieng, C., et al., Heat transfer enhancement in ferrofluids subjected to steady magnetic fields, J. Magn. Magn. Mater., 201 (1999), 13 pp. 252-255
  30. Stiles, P. J., et al., Heat transfer through ferrofluids as a function of the magnetic field strength, J. Colloid Interface. Sci., 155 (1993), 1, pp. 256-258
  31. Abdallah, I. A., Analytical solution of heat and mass transfer over a permeable stretching plate affected by a chemical reaction, internal heating, Dufour-Souret effect and hall effect, Thermal Science, 13 (2009), pp. 183-197
  32. Zeeshan, et al., Effect of magnetic dipole on viscous ferrofluid past a stretching surface with thermal radiation, Journal of Molecular Liquids, 215 (2016), pp. 549-554
  33. Nawaz et al., Joules heating effects on stagnation point flow over a stretching cylinder by means of genetic algorithm and Nelder-Mead method, International Journal for Numerical Methods for Heat and Fluid Flow, 25 (2015), 3, pp. 665-684
  34. Kazem, S., et al., Improved analytical solutions to a stagnation-point flow past a porous stretching sheet with heat generation, Journal of the Franklin Institute, 348 (2011), 8, pp. 2044-2058
  35. Hayat, T., et al., Slip flow and heat transfer of a second grade fluid past a stretching sheet through a porous space, International Journal of Heat and Mass Transfer, 51 (2008), 17, pp. 4528-4534
  36. Martin, M. J., Boyd, I. D., Momentum and heat transfer in a laminar boundary layer with slip flow, J. Thermophys. Heat Transf., 20 (2006), pp. 710-719
  37. Andersson, H. I., Slip flow past a stretching surface, Acta. Mechanica., 158 (2002), 1, pp. 121-125
  38. Ali, M. E., The effect of variable viscosity on mixed convection heat transfer along a vertical moving surface, International Journal of Thermal Sciences, 45 (2006), 1, pp. 60-69
  39. Hayat, T., et al., Heat and mass transfer for Soret and Dufour's effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid, Communications in Nonlinear Science and Numerical Simulation ,15 (2010), 5, pp. 1183-1196.
  40. Akbar, et al. Influence of mixed convection on blood flow of Jeffery fluid through a tapered stenosed artery, Thermal Science, 17 (2013), 2, pp. 533-546.
  41. Ellahi, et al., A study on the mixed convection boundary layer flow and heat transfer over a vertical slender cylinder, Thermal Science, 18 (2014) 1247-1258.
  42. Nezhad, A. H. and Ardalan, M. V., A new approach for the analysis of the nanoparticles effects on Cu-water nanofluid mixed convection heat transfer and required power in a lid-driven cavity, Thermal Science, 20 (2016), 20, pp. 133-139
  43. Pourmahmoud, N,. et al., Mahmoodi, M., Mixed convection inside nanofluid filled rectangular enclosures with moving bottom wall, Thermal Science, 15 (2011), 3, pp. 889-903
  44. Ellahi et al., Shape effects of mixed convection MHD nanofluid over a vertical stretching permeable sheet, DOI: 10.1631/jzus.A1500119, Journal of Zhejiang University-SCIENCE A, (2016)
  45. Andersson, H. I., Valnes, O. A., Flow of a heated ferrofluid over a stretching sheet in the presence of a magnetic dipole, Acta Mechanica, 12 (1998), 8, pp. 39-47
  46. Chen, C. H., Laminar mixed convection adjacent to vertical continuously stretching sheets, Heat and Mass Transfer, 33 (1998), 5-6, pp. 471-476.
  47. Abel, M. S., et al., Viscoelastic MHD flow and heat transfer over a stretching sheet with viscous and ohmic dissipations, Communications in Nonlinear Science and Numerical Simulation, 13 (2008) , 9, pp. 1808-1821
  48. Ali, M. E., Heat transfer characteristics of a continuous stretching surface, Wärme-und Stoffübertragung, 29 (1994), 4, pp. 227-234.

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